{"id":960,"date":"2025-04-23T10:22:00","date_gmt":"2025-04-23T10:22:00","guid":{"rendered":"https:\/\/academicsociety.org\/deij\/?p=960"},"modified":"2026-10-29T10:37:12","modified_gmt":"2026-10-29T10:37:12","slug":"a-diffeomorphic-approach-to-interpolating-prime-series-and-solving-diophantine-equations","status":"publish","type":"post","link":"https:\/\/academicsociety.org\/deij\/a-diffeomorphic-approach-to-interpolating-prime-series-and-solving-diophantine-equations\/","title":{"rendered":"A diffeomorphic approach to interpolating prime series and solving diophantine equations"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<p><strong>Reference<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Milgram, M. (2020). Research Article An Integral Equation for Riemann\u2019s Zeta Function and Its Approximate Solution.<\/li>\n\n\n\n<li>Min, H., Tarmoun, S., Vidal, R., &amp; Mallada, E. (2021, July). On the explicit role of initialization on the convergence and implicit bias of overparametrized linear networks. In\u00a0<em>International Conference on Machine Learning<\/em>\u00a0(pp. 7760-7768). PMLR.<\/li>\n\n\n\n<li>Xu, L., Chatterton, S., &amp; Pennacchi, P. (2021). Rolling element bearing diagnosis based on singular value decomposition and composite squared envelope spectrum. Mechanical Systems and Signal Processing, 148, 107174.<\/li>\n\n\n\n<li>Werner, F. (2015). On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition.\u00a0<em>Journal of Inverse and Ill-Posed Problems<\/em>,\u00a0<em>23<\/em>(1), 75-84.<\/li>\n\n\n\n<li>Mavrodiev, S. C., &amp; Deliyergiyev, M. A. (2017). Computation of the Binding Energies in the Inverse Problem Framework. In\u00a0<em>EXOTIC NUCLEI: EXON-2016 Proceedings of International Symposium<\/em>\u00a0(pp. 330-337).<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Reference<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"ocean_front_end_style_editor":"no","ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","omw_enable_modal_window":"enable","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[25],"tags":[],"article-archive":[20],"class_list":["post-960","post","type-post","status-publish","format-standard","hentry","category-original-research-article","article-archive-volume-6-issue-1-2025","entry"],"acf":[],"_links":{"self":[{"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/posts\/960","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/comments?post=960"}],"version-history":[{"count":2,"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/posts\/960\/revisions"}],"predecessor-version":[{"id":963,"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/posts\/960\/revisions\/963"}],"wp:attachment":[{"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/media?parent=960"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/categories?post=960"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/tags?post=960"},{"taxonomy":"article-archive","embeddable":true,"href":"https:\/\/academicsociety.org\/deij\/wp-json\/wp\/v2\/article-archive?post=960"}],"curies":[{"name":"w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